Two metal cubes \( A \) and \( B \) of same size are arranged as sh...

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Two metal cubes \( A \) and \( B \) of same size are arranged as shown in the figure. The extreme ends of the combination
\( \mathrm{P} \) are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of W thermal conductivity of \( A \) and \( B \) are \( 300 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C} \) and 200 \( \mathrm{W} / \mathrm{m}^{\circ} \mathrm{C} \), respectively. After steady state is reached, the temperature of the interface will be
[IIT 1996]
(a) \( 45^{\circ} \mathrm{C} \)
(b) \( 90^{\circ} \mathrm{C} \)
(c) \( 30^{\circ} \mathrm{C} \)
(d) \( 60^{\circ} \mathrm{C} \)
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